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Finding the Third Proportional to 403,784 and 626,996

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Solution

The third proportional to 403,784 and 626,996 is: 973,599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,784 : 626,996 = 626,996 : x
  2. Step 2: Convert to fraction form
    403,784/626,996 = 626,996/x
  3. Step 3: Cross multiply
    403,784x = 626,996 × 626,996
  4. Step 4: Simplify right side
    403,784x = 393,123,984,016
  5. Step 5: Solve for x
    x = 393,123,984,016/403,784
  6. Step 6: Final answer
    x = 973,599.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.